In Weyl gravitoelectromagnetism, the Newtonian potential is claimed to be suppressed by a factor tanh(βm/2) at finite temperature, vanishing in the hot limit.
Lowest-order graviton interactions with a charged fermion and a photon,
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Newtonian Potential in Weyl Gravitoelectromagnetism
In Weyl gravitoelectromagnetism, the Newtonian potential is claimed to be suppressed by a factor tanh(βm/2) at finite temperature, vanishing in the hot limit.